Search a number
-
+
20372000733 = 3272792772111
BaseRepresentation
bin10010111110010001…
…000000111111011101
31221120202111212022200
4102332101000333131
5313210213010413
613205254402113
71320560102100
oct227621007735
957522455280
1020372000733
118704510747
123b46660339
131bc8794b06
14db387c737
157e374d573
hex4be440fdd

20372000733 has 72 divisors (see below), whose sum is σ = 34805422080. Its totient is φ = 11446868160.

The previous prime is 20372000731. The next prime is 20372000741. The reversal of 20372000733 is 33700027302.

It is a happy number.

It is not a de Polignac number, because 20372000733 - 21 = 20372000731 is a prime.

It is a super-5 number, since 5×203720007335 (a number of 53 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20372000697 and 20372000706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20372000731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9649348 + ... + 9651458.

It is an arithmetic number, because the mean of its divisors is an integer number (483408640).

Almost surely, 220372000733 is an apocalyptic number.

It is an amenable number.

20372000733 is a deficient number, since it is larger than the sum of its proper divisors (14433421347).

20372000733 is a wasteful number, since it uses less digits than its factorization.

20372000733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The spelling of 20372000733 in words is "twenty billion, three hundred seventy-two million, seven hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 79 147 237 277 441 553 711 831 1659 1939 2111 2493 3871 4977 5817 6333 11613 13573 14777 17451 18999 21883 34839 40719 44331 65649 103439 122157 132993 153181 166769 196947 310317 459543 500307 584747 930951 1072267 1167383 1378629 1500921 1754241 3216801 3502149 4093229 5262723 8171681 9650403 10506447 12279687 24515043 28652603 36839061 46195013 73545129 85957809 138585039 257873427 323365091 415755117 970095273 2263555637 2910285819 6790666911 20372000733